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From: "zoul " <joelsubash@gmail.com>
Newsgroups: comp.soft-sys.matlab
Subject: Sinusoidal phase difference issue.
Date: Mon, 20 Jun 2011 16:09:04 +0000 (UTC)
Organization: Aston University
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Xref: news.mathworks.com comp.soft-sys.matlab:732812

Hey guys,

Hope you doing alright. The following code calculates the phase difference between two sinusoids using correlation.

t=[0:0.00001:4];
f = 1;
s1 = sin(2*pi*f*t);
s2 = sin(2*pi*f*(t-0.35)); % s1 lags s2 by 0.35s
subplot(2,1,1);
plot(t,s1,'r',t,s2,'b');
grid
title('signals')
% Now cross-correlate the two signals
x = xcorr(s1,s2,'coeff');
tx=[-4:.00001:4];
subplot(2,1,2)
plot(tx,x)
grid
% Determine the lag
[mx,ix] = max(x);
lag = tx(ix)
hold on
tm = [lag,lag];
mm = [-1,1];
plot(tm,mm,'k')
hold off
S = sprintf('Lag = %5.2f',lag);
title(S)

Everything seems to be fine as long as the frequency remains the same. But once I double the frequency(f) the phase(lag) estimate goes wrong. This suggests that there is a relation between phase difference introduced during signal generation and frequency, which to me seems wrong.Could someone explain what is happening??

cheers
```